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Simplifying -42x + -12 = -6(6x + -4) Reorder the terms: -12 + -42x = -6(6x + -4) Reorder the terms: -12 + -42x = -6(-4 + 6x) -12 + -42x = (-4 * -6 + 6x * -6) -12 + -42x = (24 + -36x) Solving -12 + -42x = 24 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -12 + -42x + 36x = 24 + -36x + 36x Combine like terms: -42x + 36x = -6x -12 + -6x = 24 + -36x + 36x Combine like terms: -36x + 36x = 0 -12 + -6x = 24 + 0 -12 + -6x = 24 Add '12' to each side of the equation. -12 + 12 + -6x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 24 + 12 -6x = 24 + 12 Combine like terms: 24 + 12 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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